document.write( "Question 1174188: 5. The energy of a moving body varies directly as the square of its speed. If a body has energy of 5 units at a speed of 3 feet per second, what is its speed when its energy is 20 units? (show complete solution thanks!) \n" ); document.write( "
Algebra.Com's Answer #799624 by Boreal(15235) You can put this solution on YOUR website! E=k*s^2 \n" ); document.write( "5=k*3^2 \n" ); document.write( "k=(5/9) \n" ); document.write( "- \n" ); document.write( "Now use k in the next equation \n" ); document.write( "20=(5/9)*s^2 \n" ); document.write( "s^2=20(9/5)=36 units \n" ); document.write( "s=6 units \n" ); document.write( "- \n" ); document.write( "Can check this by noting that speed doubled from 3 ft/sec to 6 ft/sec and energy therefore should quadruple from 5 units to 20 units. \n" ); document.write( " \n" ); document.write( " |